The On-Line Encyclopedia of Integer Sequences (OEIS)

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A269153

Expansion of Product_{k>=1} ((1 - k*x^k) / (1 - 2*x^k)).
(history; published version)

#7 by Vaclav Kotesovec at Sat Feb 20 09:07:11 EST 2016

STATUS

editing

approved

#6 by Vaclav Kotesovec at Sat Feb 20 09:07:02 EST 2016

LINKS

Vaclav Kotesovec, <a href="/A269153/b269153.txt">Table of n, a(n) for n = 0..3300</a>

STATUS

approved

editing

#5 by Vaclav Kotesovec at Sat Feb 20 07:32:35 EST 2016

STATUS

editing

approved

#4 by Vaclav Kotesovec at Sat Feb 20 07:27:19 EST 2016

FORMULA

a(n) ~ c * 2^n, where c = Product_{k>=1} (2^k - k)/(2^k - 1) = 0.27320499481666294779155052256744055231134605935215258251663905...

#3 by Vaclav Kotesovec at Sat Feb 20 07:24:56 EST 2016

CROSSREFS

Cf. A070933, A267005, A269144.

#2 by Vaclav Kotesovec at Sat Feb 20 07:23:17 EST 2016

NAME

allocated for Vaclav Kotesovec

Expansion of Product_{k>=1} ((1 - k*x^k) / (1 - 2*x^k)).

DATA

1, 1, 2, 3, 5, 9, 15, 33, 62, 130, 264, 554, 1081, 2237, 4483, 8952, 17933, 35921, 71755, 143502, 286713, 573198, 1146540, 2292277, 4584087, 9166802, 18334880, 36668210, 73336840, 146672469, 293348402, 586695560, 1173398119, 2346805311, 4693617598, 9387229673

OFFSET

0,3

MATHEMATICA

nmax = 50; CoefficientList[Series[Product[(1-k*x^k)/(1-2*x^k), {k, 1, nmax}], {x, 0, nmax}], x]

CROSSREFS

Cf. A070933, A269144.

KEYWORD

allocated

nonn

AUTHOR

Vaclav Kotesovec, Feb 20 2016

STATUS

approved

editing

#1 by Vaclav Kotesovec at Sat Feb 20 07:23:17 EST 2016

NAME

allocated for Vaclav Kotesovec

KEYWORD

allocated

STATUS

approved